The properties of cluster and daughter nuclei play a significant role in calculating the interaction potential between two interacting nuclei. The nucleon density distribution is one of the most critical factors in assessing nuclear properties that can affect the interaction potential [1]}, [2]}, [3]}, [4]}, [5]} and thereby confront theoretical calculations with experimental data. Meanwhile, investigations of cluster decay and nuclear fusion are predominantly relevant for the interaction potentials in the partial and full overlap density regions [6]}, [7]}, [8]}. Although the semi-microscopic DF potentials based on the effective M3Y nucleon-nucleon (\(NN\) ) interaction can well reproduce most of the scattering data, they fail in describing many reactions that are strongly affected by the characteristics of the potential below the barrier in the internal region [9]}. This deficiency can be due to the non-consideration of the repulsive core in the DF formalism [10]}. However, the Pauli exclusion principle (\(PEP\) ) satisfactory and antisymmetrization impact would be important ones compensating such insufficiencies [11]}. To this goal, the contribution of an increase in the intrinsic kinetic energy of the nuclear densities at small separation distances can be employed due to the antisymmetrization of both the interaction matrix element and the distortion [12]}.
